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Finding the Fourth Proportional to 16,275.60, 24,413.40 and 7,507.92

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Solution

The fourth proportional to 16,275.60, 24,413.40 and 7,507.92 is: 11,261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.60 : 24,413.40 = 7,507.92 : x
  2. Step 2: Convert to fraction form
    16,275.60/24,413.40 = 7,507.92/x
  3. Step 3: Cross multiply
    16,275.60x = 24,413.40 × 7,507.92
  4. Step 4: Simplify right side
    16,275.60x = 183,293,854.13
  5. Step 5: Solve for x
    x = 183,293,854.13/16,275.60
  6. Step 6: Final answer
    x = 11,261.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.